def get_physical_qps(self):
"""
Get physical quadrature points corresponding to the term region
and integral.
"""
from sfepy.discrete.common.mappings import get_physical_qps, PhysicalQPs
if self.integration == "point":
phys_qps = PhysicalQPs()
elif self.integration == "plate":
phys_qps = get_physical_qps(self.region, self.integral, map_kind="v")
else:
phys_qps = get_physical_qps(self.region, self.integral)
return phys_qps
def get_physical_qps(self):
"""
Get physical quadrature points corresponding to the term region
and integral.
"""
from sfepy.discrete.common.mappings import get_physical_qps, PhysicalQPs
if self.integration == 'point':
phys_qps = PhysicalQPs(self.region.igs)
elif self.integration == 'plate':
phys_qps = get_physical_qps(self.region,
self.integral,
map_kind='v')
else:
phys_qps = get_physical_qps(self.region, self.integral)
return phys_qps
def test_invariance_qp(self):
from sfepy import data_dir
from sfepy.discrete import Integral
from sfepy.terms import Term
from sfepy.discrete.common.mappings import get_physical_qps
ok = True
for name in [
"meshes/3d/block.mesh",
"meshes/3d/cylinder.mesh",
"meshes/2d/square_quad.mesh",
"meshes/2d/square_unit_tri.mesh",
]:
self.report(name)
u = prepare_variable(op.join(data_dir, name), n_components=3)
omega = u.field.region
integral = Integral("i", order=3)
qps = get_physical_qps(omega, integral)
coors = qps.values
term = Term.new("ev_volume_integrate(u)", integral, omega, u=u)
term.setup()
val1 = term.evaluate(mode="qp")
val1 = val1.ravel()
val2 = u.evaluate_at(coors).ravel()
self.report("value: max. difference:", nm.abs(val1 - val2).max())
ok1 = nm.allclose(val1, val2, rtol=0.0, atol=1e-12)
self.report("->", ok1)
term = Term.new("ev_grad(u)", integral, omega, u=u)
term.setup()
val1 = term.evaluate(mode="qp")
val1 = val1.ravel()
val2 = u.evaluate_at(coors, mode="grad").ravel()
self.report("gradient: max. difference:", nm.abs(val1 - val2).max())
ok2 = nm.allclose(val1, val2, rtol=0.0, atol=1e-10)
self.report("->", ok2)
ok = ok and ok1 and ok2
return ok
def test_invariance_qp(self):
from sfepy import data_dir
from sfepy.discrete import Integral
from sfepy.terms import Term
from sfepy.discrete.common.mappings import get_physical_qps
ok = True
for name in [
'meshes/3d/block.mesh', 'meshes/3d/cylinder.mesh',
'meshes/2d/square_quad.mesh', 'meshes/2d/square_unit_tri.mesh'
]:
self.report(name)
u = prepare_variable(op.join(data_dir, name), n_components=3)
omega = u.field.region
integral = Integral('i', order=3)
qps = get_physical_qps(omega, integral)
coors = qps.values
term = Term.new('ev_volume_integrate(u)', integral, omega, u=u)
term.setup()
val1 = term.evaluate(mode='qp')
val1 = val1.ravel()
val2 = u.evaluate_at(coors).ravel()
self.report('value: max. difference:', nm.abs(val1 - val2).max())
ok1 = nm.allclose(val1, val2, rtol=0.0, atol=1e-12)
self.report('->', ok1)
term = Term.new('ev_grad(u)', integral, omega, u=u)
term.setup()
val1 = term.evaluate(mode='qp')
val1 = val1.ravel()
val2 = u.evaluate_at(coors, mode='grad').ravel()
self.report('gradient: max. difference:',
nm.abs(val1 - val2).max())
ok2 = nm.allclose(val1, val2, rtol=0.0, atol=1e-10)
self.report('->', ok2)
ok = ok and ok1 and ok2
return ok
def test_invariance_qp(self):
from sfepy import data_dir
from sfepy.discrete import Variables, Integral
from sfepy.discrete.fem import Mesh, FEDomain, Field
from sfepy.terms import Term
from sfepy.discrete.common.mappings import get_physical_qps
mesh = Mesh.from_file(data_dir + '/meshes/3d/block.mesh')
bbox = mesh.get_bounding_box()
dd = bbox[1,:] - bbox[0,:]
data = nm.sin(4.0 * nm.pi * mesh.coors[:,0:1] / dd[0]) \
* nm.cos(4.0 * nm.pi * mesh.coors[:,1:2] / dd[1])
variables = {
'u' : ('unknown field', 'scalar_tp', 0),
'v' : ('test field', 'scalar_tp', 'u'),
}
domain = FEDomain('domain', mesh)
omega = domain.create_region('Omega', 'all')
field = Field.from_args('scalar_tp', nm.float64, 1, omega,
approx_order=1)
ff = {field.name : field}
vv = Variables.from_conf(transform_variables(variables), ff)
u = vv['u']
u.set_from_mesh_vertices(data)
integral = Integral('i', order=2)
term = Term.new('ev_volume_integrate(u)', integral, omega, u=u)
term.setup()
val1 = term.evaluate(mode='qp')
val1 = val1.ravel()
qps = get_physical_qps(omega, integral)
coors = qps.values
val2 = u.evaluate_at(coors).ravel()
self.report('max. difference:', nm.abs(val1 - val2).max())
ok = nm.allclose(val1, val2, rtol=0.0, atol=1e-12)
self.report('invariance in qp: %s' % ok)
return ok
def get_surface_basis(self, region):
"""
Get basis for projections to region's facets.
Notes
-----
Cannot be uses for all fields because IGA does not support surface
mappings.
"""
order = self.approx_order
integral = Integral('i', order=2 * order)
geo, mapping = self.get_mapping(region, integral, 'surface')
pqps = get_physical_qps(region, integral)
qps = pqps.values.reshape(pqps.shape)
bfs = nm.broadcast_to(
geo.bf[..., 0, :],
(qps.shape[0], qps.shape[1], geo.bf.shape[3]),
)
return qps, bfs, geo.det[..., 0]